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Finding the Fourth Proportional to 497,665,643.60, 746,498,465.40 and 497,665,643.60

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Solution

The fourth proportional to 497,665,643.60, 746,498,465.40 and 497,665,643.60 is: 746,498,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,665,643.60 : 746,498,465.40 = 497,665,643.60 : x
  2. Step 2: Convert to fraction form
    497,665,643.60/746,498,465.40 = 497,665,643.60/x
  3. Step 3: Cross multiply
    497,665,643.60x = 746,498,465.40 × 497,665,643.60
  4. Step 4: Simplify right side
    497,665,643.60x = 371,506,639,229,703,360
  5. Step 5: Solve for x
    x = 371,506,639,229,703,360/497,665,643.60
  6. Step 6: Final answer
    x = 746,498,465.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.